60742138464 has 288 divisors, whose sum is σ = 215502094080. Its totient is φ = 16441201152.

The previous prime is 60742138463. The next prime is 60742138469. The reversal of 60742138464 is 46483124706.

60742138464 is a `hidden beast` number, since 607 + 4 + 2 + 1 + 38 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60742138463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004842 + ... + 1063574.

It is an arithmetic number, because the mean of its divisors is an integer number (748271160).

Almost surely, 2^60742138464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60742138464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107751047040).

60742138464 is an abundant number, since it is smaller than the sum of its proper divisors (154759955616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60742138464 is a wasteful number, since it uses less digits than its factorization.

60742138464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58784 (or 58764 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 60742138464 in words is "sixty billion, seven hundred forty-two million, one hundred thirty-eight thousand, four hundred sixty-four".